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Finding the Fourth Proportional to 710.24, 980.20 and 399.76

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Solution

The fourth proportional to 710.24, 980.20 and 399.76 is: 551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.24 : 980.20 = 399.76 : x
  2. Step 2: Convert to fraction form
    710.24/980.20 = 399.76/x
  3. Step 3: Cross multiply
    710.24x = 980.20 × 399.76
  4. Step 4: Simplify right side
    710.24x = 391,844.75
  5. Step 5: Solve for x
    x = 391,844.75/710.24
  6. Step 6: Final answer
    x = 551.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.